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Finding the Third Proportional to 269,853 and 396,030.75

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Solution

The third proportional to 269,853 and 396,030.75 is: 581,206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,853 : 396,030.75 = 396,030.75 : x
  2. Step 2: Convert to fraction form
    269,853/396,030.75 = 396,030.75/x
  3. Step 3: Cross multiply
    269,853x = 396,030.75 × 396,030.75
  4. Step 4: Simplify right side
    269,853x = 156,840,354,945.56
  5. Step 5: Solve for x
    x = 156,840,354,945.56/269,853
  6. Step 6: Final answer
    x = 581,206.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.